nLab Peter Scholze

• webpage

Selected writings

• Stavros Garoufalidis, Peter Scholze, Campbell Wheeler, Don Zagier, The Habiro ring of a number field (arXiv:2412.04241)

On p-adic Hodge theory:

• Peter Scholze, p-adic Hodge theory for rigid-analytic varieties, Forum of Mathematics, Pi, 1, e1 2013. arXiv:1205.3463

• Bhargav Bhatt, Matthew Morrow, Peter Scholze Integral $p$-adic Hodge Theory [arXiv:1602.03148]

• Bhargav Bhatt, Matthew Morrow, Peter Scholze, Topological Hochschild homology and integral $p$-adic Hodge theory [arXiv:1802.03261]

• Bhargav Bhatt, Peter Scholze, Prisms and prismatic cohomology, Ann. of Math. (2) 196(3): 1135-1275 doi arXiv:1905.08229

• Bhargav Bhatt, Peter Scholze, Projectivity of the Witt vector affine Grassmannian, Invent. math. 209, 329-423 (2017) doi arXiv:1507.06490

On cyclotomic spectra and topological cyclic homology:

• Thomas Nikolaus, Peter Scholze, On topological cyclic homology, Acta Math. 221 2 (2018) 203-409 [arXiv:1707.01799, doi:10.4310/ACTA.2018.v221.n2.a1]

On the local Langlands conjecture:

• Laurent Fargues, Peter Scholze, Geometrization of the local Langlands correspondence (pdf)

• Peter Scholze, Geometrization of the local Langlands correspondence, motivically (arXiv:2501.07944)

On condensed mathematics and analytic geometry:

• Peter Scholze, Lectures on condensed mathematics, pdf

• Peter Scholze, Lectures on analytic geometry, pdf

• Dustin Clausen, Peter Scholze, Condensed Mathematics and Complex Geometry, pdf

On Berkovich motives:

• Peter Scholze, Berkovich Motives (arXiv:2412.03382)

On six functor formalism:

• Peter Scholze, Six-Functor Formalisms [arXiv:2510.26269]

Related entries

• p-adic Hodge theory

• local Langlands correspondence

• pro-étale morphism

• perfectoid space

• Rapoport-Zink space

• shtuka

• prismatic cohomology

• Berkovich motive

category: people